Universal and nonuniversal features in shadowing dynamics of nonhyperbolic chaotic systems with unstable-dimension variability

Younghae Do, Ying-Cheng Lai, Zonghua Liu, Eric Kostelich

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The universal and nonuniversal features in the shadowing dynamics of nonhyperbolic chaotic systems with unstable-dimension variability were discussed. As such, the result provided a more detailed understanding of the fundamental problem of shadowing in terms of statistical characterizations. The theoretical treatment show that the shadowing problem shares the same dynamical mechanism as that for on-off intermittency under noise.

Original languageEnglish (US)
Article number035202
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number3 2
StatePublished - Mar 2003

Fingerprint

Shadowing
intermittency
Chaotic System
Unstable
Intermittency

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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abstract = "The universal and nonuniversal features in the shadowing dynamics of nonhyperbolic chaotic systems with unstable-dimension variability were discussed. As such, the result provided a more detailed understanding of the fundamental problem of shadowing in terms of statistical characterizations. The theoretical treatment show that the shadowing problem shares the same dynamical mechanism as that for on-off intermittency under noise.",
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